Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200a |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-29280000000 = -1 · 211 · 3 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -2 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-8688] |
[a1,a2,a3,a4,a6] |
Generators |
[32:100:1] |
Generators of the group modulo torsion |
j |
-235298/915 |
j-invariant |
L |
3.9761425804903 |
L(r)(E,1)/r! |
Ω |
0.48520451248467 |
Real period |
R |
1.0243470740139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600e1 14640g1 |
Quadratic twists by: -4 5 |